GCF of 791/564, 2667/758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 791/564, 2667/758 i.e 7/213756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/564, 2667/758.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 791/564,2667/758?
Given fractions are 791/564,2667/758
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 791/564,2667/758, numerators are 791,2667
Denominators are 564,758
The GCF of 791,2667 is 7 .
LCM of 564,758 is 213756.
The greatest common factor of 791/564,2667/758 = [GCF of 791,2667]/[LCM of 564,758]= 7/213756
Therefore, the GCF of 791/564,2667/758 is 7/213756.
To find the highest common factor of 791,2667, we have to find the factors of both numbers and list the highest common factor.
The factors of 791 are 1, 7, 113, 791
The factors of 2667 are 1, 3, 7, 21, 127, 381, 889, 2667
The HCF of 791,2667 is 7.
Lets's calculate GCF of 791,2667
| 7 | 791, 2667 |
| 113, 381 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 791,2667 By Matching Biggest Common Factor Method
Now, list down the factors of 791
:1,7,113,791
Now, list down the factors of 2667
:1,3,7,21,127,381,889,2667
Greatest Common Factor
We found the factors 791,2667 . The biggest common factor number is the GCF number.
So the greatest common factor 791,2667 is 7.
Lets's calculate LCM of 564,758
| 2 | 564, 758 |
| 282, 379 |
∴ So the LCM of the given numbers is 2 x 282 x 379 = 213756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/213756
Therefore, the GCF of Fractions 791/564,2667/758 is 7/213756
Least Common Multiple of 564,758 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 564,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(564,758) x common factors =2 x 1 = 2
LCM(564,758) = ( 564 × 758 ) / 2
LCM(564,758) = 427512 / 2
LCM(564,758) = 213756
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FAQs on GCF of Fractions of 791/564, 2667/758
1. What is the HCF of 791,2667?
The HCF of 791,2667 is 7
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 791/564, 2667/758?
Answer: GCF of Numerators as per given numbers 791/564, 2667/758 is
GCF of Numerators i.e. for 791,2667 is 7
LCM of denominators i.e. for 564,758 is 213756.
Thus, GCF of Fractions is 7/213756.Finally, GCF of Fractions for 791/564, 2667/758 is 7/213756.